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Finding the Fourth Proportional to 468,282.84, 646,231.46 and 253,424.46

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Solution

The fourth proportional to 468,282.84, 646,231.46 and 253,424.46 is: 349,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,282.84 : 646,231.46 = 253,424.46 : x
  2. Step 2: Convert to fraction form
    468,282.84/646,231.46 = 253,424.46/x
  3. Step 3: Cross multiply
    468,282.84x = 646,231.46 × 253,424.46
  4. Step 4: Simplify right side
    468,282.84x = 163,770,858,785.51
  5. Step 5: Solve for x
    x = 163,770,858,785.51/468,282.84
  6. Step 6: Final answer
    x = 349,726.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.